filter list based upon nested div

filter list based upon nested div

Hello,
I have a list set up like the following -

  1. <ul>
  2.       <li>
  3.             <div id='name'></div>
  4.             <div id='filterField'></div>
  5.             <div id='somefield'></div>
  6.       </li>
  7.       <li>
  8. ..etc
I would like to filter list based upon the value of the filterField item above.  Does anyone know how I can do that?

Thanks for any thoughts.